In many applications involving waves at the surface of a ﬂuid, it is often sufﬁcient just to consider steady-state situations, where the wave pattern does not change noticeably with time. Waves behind moving ships are one such example. There is an enormous literature on such situations, and at least for two-dimensional ﬂow, steady waves can be computed reasonably accurately.
This talk will consider some examples of unsteady ﬂuid ﬂow, characterized by the presence of an unstable interface. We will discuss how ﬂuid viscosity and interface thickness change the singular behaviour predicted by (non-linear) inviscid theory, in some surprisingly subtle ways.
Larry Forbes is an Applied Mathematician from the University of Tasmania, in Australia's island state. He did his PhD with Len Schwartz and the late Ernie Tuck on steady water waves produced by under-sea objects. He then worked for the Defence Department in Melbourne, before moving to the University of Iowa to work with Lou Landweber. He was an assistant professor at Kansas State, and then moved to Queensland University back in Australia. Since 2000, he has been a full professor at the University of Tasmania. He is interested in non-linear ﬂuid-ﬂow problems, dynamical systems and the use of Applied Mathematics to design medical imaging equipment.